Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
31–40 of 48 · Normal
Question 31
4 marks · Normal
Answer and see the solution →The diagram shows a circle with centre O. PT is a tangent to the circle at P. OP = 7 cm. Work out the length OT if angle OPT = 60°.
Circle with tangent and radius. (a)[3 marks]Find OT.
(b)[1 mark]State the property relating the tangent to the radius at P.
Question 32
2 marks · Normal
Answer and see the solution →A square has sides of length 6 cm. Calculate the length of its diagonal to 3 significant figures.
(a)[2 marks]Question 33
3 marks · Normal
Answer and see the solution →The table shows the number of hours a group of students spent reading in a week.
Hours spent reading in a week (by student) Student Hours A 2 B 5 C 3 D 4 E 6 F 0 a) Complete the tally and frequency columns for the data above.
(a)[3 marks]Draw a tally chart showing the frequency for each number of hours (from 0 to 6).
Question 34
2 marks · Normal
Answer and see the solution →Classify each of the following as discrete, continuous, or categorical data.
Data Description a) Number of cars owned by a family b) Favourite colour of students c) Height of trees in a park Question 35
4 marks · Normal
Answer and see the solution →The table shows the number of apples picked each day by a worker.
Day Number of apples Monday 12 Tuesday 15 Wednesday 12 Thursday 18 Friday 9 (a)[2 marks]Calculate the mean number of apples picked per day.
(b)[1 mark]Write down the mode for the number of apples picked.
(c)[1 mark]Find the median number of apples picked.
Question 36
3 marks · Normal
Answer and see the solution →The table shows the number of snacks sold on different days.
Day Number of Snacks Monday 7 Tuesday 5 Wednesday 8 Thursday 4 Friday 6 Draw a bar chart using this data.
Question 37
3 marks · Normal
Answer and see the solution →A magazine states, 'On average, students in our school have 2.8 siblings.'
Explain what this statement means. Why might the mean not be the best average to use for this data?
Question 38
2 marks · Normal
Answer and see the solution →Holly’s test scores for 6 science quizzes are: 8, 12, 17, 10, 13, 10.
Calculate the mean score.
Question 39
1 mark · Normal
Answer and check →Which of these graphs is most suitable for displaying categorical data?
- A.Line graph
- B.Bar chart
- C.Scatter diagram
- D.Frequency polygon
Question 40
2 marks · Normal
Answer and see the solution →A teacher drew two bar charts for the same data, but started the vertical axis at 400 and at 0 respectively. What effect does starting the axis at 400 instead of 0 have on the impression given by the chart?